Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [435,2,Mod(349,435)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(435, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("435.349");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 435 = 3 \cdot 5 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 435.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.47349248793\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | 10.0.3899266318336.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 2x^{8} + 6x^{7} + 19x^{6} - 12x^{5} + 4x^{4} + 2x^{3} + 9x^{2} - 6x + 2 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 349.3 | ||
Root | \(-0.604479 - 0.604479i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 435.349 |
Dual form | 435.2.c.e.349.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/435\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(146\) | \(262\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.71457i | − | 1.21238i | −0.795319 | − | 0.606192i | \(-0.792696\pi\) | ||
0.795319 | − | 0.606192i | \(-0.207304\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −0.939748 | −0.469874 | ||||||||
\(5\) | 1.51903 | + | 1.64090i | 0.679330 | + | 0.733833i | ||||
\(6\) | −1.71457 | −0.699970 | ||||||||
\(7\) | − | 0.654317i | − | 0.247309i | −0.992325 | − | 0.123654i | \(-0.960539\pi\) | ||
0.992325 | − | 0.123654i | \(-0.0394614\pi\) | |||||||
\(8\) | − | 1.81788i | − | 0.642716i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 2.81344 | − | 2.60448i | 0.889687 | − | 0.823609i | ||||
\(11\) | 0.163559 | 0.0493148 | 0.0246574 | − | 0.999696i | \(-0.492151\pi\) | ||||
0.0246574 | + | 0.999696i | \(0.492151\pi\) | |||||||
\(12\) | 0.939748i | 0.271282i | ||||||||
\(13\) | − | 2.65432i | − | 0.736175i | −0.929791 | − | 0.368088i | \(-0.880013\pi\) | ||
0.929791 | − | 0.368088i | \(-0.119987\pi\) | |||||||
\(14\) | −1.12187 | −0.299833 | ||||||||
\(15\) | 1.64090 | − | 1.51903i | 0.423679 | − | 0.392211i | ||||
\(16\) | −4.99637 | −1.24909 | ||||||||
\(17\) | − | 3.86328i | − | 0.936982i | −0.883468 | − | 0.468491i | \(-0.844798\pi\) | ||
0.883468 | − | 0.468491i | \(-0.155202\pi\) | |||||||
\(18\) | 1.71457i | 0.404128i | ||||||||
\(19\) | 3.47954 | 0.798260 | 0.399130 | − | 0.916894i | \(-0.369312\pi\) | ||||
0.399130 | + | 0.916894i | \(0.369312\pi\) | |||||||
\(20\) | −1.42750 | − | 1.54203i | −0.319199 | − | 0.344809i | ||||
\(21\) | −0.654317 | −0.142784 | ||||||||
\(22\) | − | 0.280433i | − | 0.0597884i | ||||||
\(23\) | − | 7.69972i | − | 1.60550i | −0.596314 | − | 0.802751i | \(-0.703369\pi\) | ||
0.596314 | − | 0.802751i | \(-0.296631\pi\) | |||||||
\(24\) | −1.81788 | −0.371072 | ||||||||
\(25\) | −0.385107 | + | 4.98515i | −0.0770214 | + | 0.997029i | ||||
\(26\) | −4.55101 | −0.892527 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0.614893i | 0.116204i | ||||||||
\(29\) | −1.00000 | −0.185695 | ||||||||
\(30\) | −2.60448 | − | 2.81344i | −0.475511 | − | 0.513661i | ||||
\(31\) | 5.05274 | 0.907499 | 0.453750 | − | 0.891129i | \(-0.350086\pi\) | ||||
0.453750 | + | 0.891129i | \(0.350086\pi\) | |||||||
\(32\) | 4.93087i | 0.871663i | ||||||||
\(33\) | − | 0.163559i | − | 0.0284719i | ||||||
\(34\) | −6.62385 | −1.13598 | ||||||||
\(35\) | 1.07367 | − | 0.993926i | 0.181483 | − | 0.168004i | ||||
\(36\) | 0.939748 | 0.156625 | ||||||||
\(37\) | 10.5904i | 1.74106i | 0.492118 | + | 0.870528i | \(0.336223\pi\) | ||||
−0.492118 | + | 0.870528i | \(0.663777\pi\) | |||||||
\(38\) | − | 5.96591i | − | 0.967798i | ||||||
\(39\) | −2.65432 | −0.425031 | ||||||||
\(40\) | 2.98295 | − | 2.76140i | 0.471646 | − | 0.436616i | ||||
\(41\) | −6.17417 | −0.964244 | −0.482122 | − | 0.876104i | \(-0.660134\pi\) | ||||
−0.482122 | + | 0.876104i | \(0.660134\pi\) | |||||||
\(42\) | 1.12187i | 0.173109i | ||||||||
\(43\) | 10.5547i | 1.60958i | 0.593559 | + | 0.804790i | \(0.297722\pi\) | ||||
−0.593559 | + | 0.804790i | \(0.702278\pi\) | |||||||
\(44\) | −0.153704 | −0.0231717 | ||||||||
\(45\) | −1.51903 | − | 1.64090i | −0.226443 | − | 0.244611i | ||||
\(46\) | −13.2017 | −1.94648 | ||||||||
\(47\) | 10.3036i | 1.50294i | 0.659767 | + | 0.751470i | \(0.270655\pi\) | ||||
−0.659767 | + | 0.751470i | \(0.729345\pi\) | |||||||
\(48\) | 4.99637i | 0.721164i | ||||||||
\(49\) | 6.57187 | 0.938838 | ||||||||
\(50\) | 8.54738 | + | 0.660292i | 1.20878 | + | 0.0933795i | ||||
\(51\) | −3.86328 | −0.540967 | ||||||||
\(52\) | 2.49439i | 0.345909i | ||||||||
\(53\) | − | 4.04766i | − | 0.555989i | −0.960583 | − | 0.277995i | \(-0.910330\pi\) | ||
0.960583 | − | 0.277995i | \(-0.0896697\pi\) | |||||||
\(54\) | 1.71457 | 0.233323 | ||||||||
\(55\) | 0.248450 | + | 0.268383i | 0.0335010 | + | 0.0361888i | ||||
\(56\) | −1.18947 | −0.158949 | ||||||||
\(57\) | − | 3.47954i | − | 0.460876i | ||||||
\(58\) | 1.71457i | 0.225134i | ||||||||
\(59\) | 0.328734 | 0.0427975 | 0.0213988 | − | 0.999771i | \(-0.493188\pi\) | ||||
0.0213988 | + | 0.999771i | \(0.493188\pi\) | |||||||
\(60\) | −1.54203 | + | 1.42750i | −0.199076 | + | 0.184290i | ||||
\(61\) | −5.72054 | −0.732441 | −0.366220 | − | 0.930528i | \(-0.619348\pi\) | ||||
−0.366220 | + | 0.930528i | \(0.619348\pi\) | |||||||
\(62\) | − | 8.66328i | − | 1.10024i | ||||||
\(63\) | 0.654317i | 0.0824362i | ||||||||
\(64\) | −1.53842 | −0.192303 | ||||||||
\(65\) | 4.35547 | − | 4.03198i | 0.540230 | − | 0.500106i | ||||
\(66\) | −0.280433 | −0.0345189 | ||||||||
\(67\) | 3.51985i | 0.430019i | 0.976612 | + | 0.215009i | \(0.0689782\pi\) | ||||
−0.976612 | + | 0.215009i | \(0.931022\pi\) | |||||||
\(68\) | 3.63050i | 0.440263i | ||||||||
\(69\) | −7.69972 | −0.926937 | ||||||||
\(70\) | −1.70416 | − | 1.84088i | −0.203686 | − | 0.220027i | ||||
\(71\) | 11.7457 | 1.39396 | 0.696981 | − | 0.717090i | \(-0.254526\pi\) | ||||
0.696981 | + | 0.717090i | \(0.254526\pi\) | |||||||
\(72\) | 1.81788i | 0.214239i | ||||||||
\(73\) | 1.12143i | 0.131253i | 0.997844 | + | 0.0656267i | \(0.0209047\pi\) | ||||
−0.997844 | + | 0.0656267i | \(0.979095\pi\) | |||||||
\(74\) | 18.1580 | 2.11083 | ||||||||
\(75\) | 4.98515 | + | 0.385107i | 0.575635 | + | 0.0444683i | ||||
\(76\) | −3.26989 | −0.375082 | ||||||||
\(77\) | − | 0.107019i | − | 0.0121960i | ||||||
\(78\) | 4.55101i | 0.515300i | ||||||||
\(79\) | 12.4074 | 1.39594 | 0.697970 | − | 0.716127i | \(-0.254087\pi\) | ||||
0.697970 | + | 0.716127i | \(0.254087\pi\) | |||||||
\(80\) | −7.58963 | − | 8.19854i | −0.848546 | − | 0.916625i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 10.5860i | 1.16903i | ||||||||
\(83\) | − | 7.89306i | − | 0.866376i | −0.901304 | − | 0.433188i | \(-0.857389\pi\) | ||
0.901304 | − | 0.433188i | \(-0.142611\pi\) | |||||||
\(84\) | 0.614893 | 0.0670903 | ||||||||
\(85\) | 6.33925 | − | 5.86842i | 0.687588 | − | 0.636520i | ||||
\(86\) | 18.0968 | 1.95143 | ||||||||
\(87\) | 1.00000i | 0.107211i | ||||||||
\(88\) | − | 0.297329i | − | 0.0316954i | ||||||
\(89\) | −5.04702 | −0.534983 | −0.267491 | − | 0.963560i | \(-0.586195\pi\) | ||||
−0.267491 | + | 0.963560i | \(0.586195\pi\) | |||||||
\(90\) | −2.81344 | + | 2.60448i | −0.296562 | + | 0.274536i | ||||
\(91\) | −1.73677 | −0.182062 | ||||||||
\(92\) | 7.23579i | 0.754383i | ||||||||
\(93\) | − | 5.05274i | − | 0.523945i | ||||||
\(94\) | 17.6663 | 1.82214 | ||||||||
\(95\) | 5.28551 | + | 5.70957i | 0.542282 | + | 0.585790i | ||||
\(96\) | 4.93087 | 0.503255 | ||||||||
\(97\) | 8.49076i | 0.862106i | 0.902327 | + | 0.431053i | \(0.141858\pi\) | ||||
−0.902327 | + | 0.431053i | \(0.858142\pi\) | |||||||
\(98\) | − | 11.2679i | − | 1.13823i | ||||||
\(99\) | −0.163559 | −0.0164383 | ||||||||
\(100\) | 0.361903 | − | 4.68478i | 0.0361903 | − | 0.468478i | ||||
\(101\) | 1.81126 | 0.180227 | 0.0901136 | − | 0.995931i | \(-0.471277\pi\) | ||||
0.0901136 | + | 0.995931i | \(0.471277\pi\) | |||||||
\(102\) | 6.62385i | 0.655859i | ||||||||
\(103\) | − | 5.80807i | − | 0.572286i | −0.958187 | − | 0.286143i | \(-0.907627\pi\) | ||
0.958187 | − | 0.286143i | \(-0.0923733\pi\) | |||||||
\(104\) | −4.82522 | −0.473152 | ||||||||
\(105\) | −0.993926 | − | 1.07367i | −0.0969973 | − | 0.104779i | ||||
\(106\) | −6.94000 | −0.674072 | ||||||||
\(107\) | 3.48568i | 0.336973i | 0.985704 | + | 0.168487i | \(0.0538880\pi\) | ||||
−0.985704 | + | 0.168487i | \(0.946112\pi\) | |||||||
\(108\) | − | 0.939748i | − | 0.0904273i | ||||||
\(109\) | −8.11029 | −0.776825 | −0.388412 | − | 0.921486i | \(-0.626976\pi\) | ||||
−0.388412 | + | 0.921486i | \(0.626976\pi\) | |||||||
\(110\) | 0.460162 | − | 0.425985i | 0.0438747 | − | 0.0406161i | ||||
\(111\) | 10.5904 | 1.00520 | ||||||||
\(112\) | 3.26921i | 0.308911i | ||||||||
\(113\) | − | 2.06715i | − | 0.194461i | −0.995262 | − | 0.0972307i | \(-0.969002\pi\) | ||
0.995262 | − | 0.0972307i | \(-0.0309985\pi\) | |||||||
\(114\) | −5.96591 | −0.558758 | ||||||||
\(115\) | 12.6345 | − | 11.6961i | 1.17817 | − | 1.09067i | ||||
\(116\) | 0.939748 | 0.0872534 | ||||||||
\(117\) | 2.65432i | 0.245392i | ||||||||
\(118\) | − | 0.563637i | − | 0.0518870i | ||||||
\(119\) | −2.52781 | −0.231724 | ||||||||
\(120\) | −2.76140 | − | 2.98295i | −0.252081 | − | 0.272305i | ||||
\(121\) | −10.9732 | −0.997568 | ||||||||
\(122\) | 9.80827i | 0.887999i | ||||||||
\(123\) | 6.17417i | 0.556706i | ||||||||
\(124\) | −4.74830 | −0.426410 | ||||||||
\(125\) | −8.76512 | + | 6.94066i | −0.783976 | + | 0.620791i | ||||
\(126\) | 1.12187 | 0.0999443 | ||||||||
\(127\) | − | 12.9962i | − | 1.15323i | −0.817017 | − | 0.576613i | \(-0.804374\pi\) | ||
0.817017 | − | 0.576613i | \(-0.195626\pi\) | |||||||
\(128\) | 12.4995i | 1.10481i | ||||||||
\(129\) | 10.5547 | 0.929292 | ||||||||
\(130\) | −6.91311 | − | 7.46775i | −0.606320 | − | 0.654965i | ||||
\(131\) | 8.69003 | 0.759251 | 0.379626 | − | 0.925140i | \(-0.376053\pi\) | ||||
0.379626 | + | 0.925140i | \(0.376053\pi\) | |||||||
\(132\) | 0.153704i | 0.0133782i | ||||||||
\(133\) | − | 2.27672i | − | 0.197417i | ||||||
\(134\) | 6.03504 | 0.521348 | ||||||||
\(135\) | −1.64090 | + | 1.51903i | −0.141226 | + | 0.130737i | ||||
\(136\) | −7.02295 | −0.602213 | ||||||||
\(137\) | 14.4550i | 1.23498i | 0.786580 | + | 0.617489i | \(0.211850\pi\) | ||||
−0.786580 | + | 0.617489i | \(0.788150\pi\) | |||||||
\(138\) | 13.2017i | 1.12380i | ||||||||
\(139\) | 1.72208 | 0.146065 | 0.0730324 | − | 0.997330i | \(-0.476732\pi\) | ||||
0.0730324 | + | 0.997330i | \(0.476732\pi\) | |||||||
\(140\) | −1.00898 | + | 0.934040i | −0.0852742 | + | 0.0789408i | ||||
\(141\) | 10.3036 | 0.867723 | ||||||||
\(142\) | − | 20.1389i | − | 1.69002i | ||||||
\(143\) | − | 0.434137i | − | 0.0363043i | ||||||
\(144\) | 4.99637 | 0.416364 | ||||||||
\(145\) | −1.51903 | − | 1.64090i | −0.126148 | − | 0.136269i | ||||
\(146\) | 1.92277 | 0.159129 | ||||||||
\(147\) | − | 6.57187i | − | 0.542039i | ||||||
\(148\) | − | 9.95234i | − | 0.818077i | ||||||
\(149\) | −16.1461 | −1.32274 | −0.661369 | − | 0.750060i | \(-0.730024\pi\) | ||||
−0.661369 | + | 0.750060i | \(0.730024\pi\) | |||||||
\(150\) | 0.660292 | − | 8.54738i | 0.0539127 | − | 0.697891i | ||||
\(151\) | −0.733083 | −0.0596574 | −0.0298287 | − | 0.999555i | \(-0.509496\pi\) | ||||
−0.0298287 | + | 0.999555i | \(0.509496\pi\) | |||||||
\(152\) | − | 6.32536i | − | 0.513055i | ||||||
\(153\) | 3.86328i | 0.312327i | ||||||||
\(154\) | −0.183492 | −0.0147862 | ||||||||
\(155\) | 7.67526 | + | 8.29105i | 0.616492 | + | 0.665953i | ||||
\(156\) | 2.49439 | 0.199711 | ||||||||
\(157\) | 10.8270i | 0.864085i | 0.901853 | + | 0.432043i | \(0.142207\pi\) | ||||
−0.901853 | + | 0.432043i | \(0.857793\pi\) | |||||||
\(158\) | − | 21.2733i | − | 1.69241i | ||||||
\(159\) | −4.04766 | −0.321000 | ||||||||
\(160\) | −8.09107 | + | 7.49013i | −0.639655 | + | 0.592147i | ||||
\(161\) | −5.03806 | −0.397054 | ||||||||
\(162\) | − | 1.71457i | − | 0.134709i | ||||||
\(163\) | 13.5528i | 1.06154i | 0.847517 | + | 0.530768i | \(0.178096\pi\) | ||||
−0.847517 | + | 0.530768i | \(0.821904\pi\) | |||||||
\(164\) | 5.80216 | 0.453073 | ||||||||
\(165\) | 0.268383 | − | 0.248450i | 0.0208936 | − | 0.0193418i | ||||
\(166\) | −13.5332 | −1.05038 | ||||||||
\(167\) | 18.4671i | 1.42902i | 0.699623 | + | 0.714512i | \(0.253351\pi\) | ||||
−0.699623 | + | 0.714512i | \(0.746649\pi\) | |||||||
\(168\) | 1.18947i | 0.0917694i | ||||||||
\(169\) | 5.95460 | 0.458046 | ||||||||
\(170\) | −10.0618 | − | 10.8691i | −0.771706 | − | 0.833621i | ||||
\(171\) | −3.47954 | −0.266087 | ||||||||
\(172\) | − | 9.91878i | − | 0.756300i | ||||||
\(173\) | 8.92785i | 0.678772i | 0.940647 | + | 0.339386i | \(0.110219\pi\) | ||||
−0.940647 | + | 0.339386i | \(0.889781\pi\) | |||||||
\(174\) | 1.71457 | 0.129981 | ||||||||
\(175\) | 3.26187 | + | 0.251982i | 0.246574 | + | 0.0190481i | ||||
\(176\) | −0.817200 | −0.0615987 | ||||||||
\(177\) | − | 0.328734i | − | 0.0247092i | ||||||
\(178\) | 8.65346i | 0.648604i | ||||||||
\(179\) | 1.86896 | 0.139693 | 0.0698465 | − | 0.997558i | \(-0.477749\pi\) | ||||
0.0698465 | + | 0.997558i | \(0.477749\pi\) | |||||||
\(180\) | 1.42750 | + | 1.54203i | 0.106400 | + | 0.114936i | ||||
\(181\) | 16.8852 | 1.25507 | 0.627533 | − | 0.778590i | \(-0.284065\pi\) | ||||
0.627533 | + | 0.778590i | \(0.284065\pi\) | |||||||
\(182\) | 2.97780i | 0.220730i | ||||||||
\(183\) | 5.72054i | 0.422875i | ||||||||
\(184\) | −13.9971 | −1.03188 | ||||||||
\(185\) | −17.3778 | + | 16.0872i | −1.27764 | + | 1.18275i | ||||
\(186\) | −8.66328 | −0.635222 | ||||||||
\(187\) | − | 0.631872i | − | 0.0462071i | ||||||
\(188\) | − | 9.68282i | − | 0.706192i | ||||||
\(189\) | 0.654317 | 0.0475946 | ||||||||
\(190\) | 9.78946 | − | 9.06238i | 0.710202 | − | 0.657454i | ||||
\(191\) | 7.58677 | 0.548960 | 0.274480 | − | 0.961593i | \(-0.411494\pi\) | ||||
0.274480 | + | 0.961593i | \(0.411494\pi\) | |||||||
\(192\) | 1.53842i | 0.111026i | ||||||||
\(193\) | − | 27.2794i | − | 1.96362i | −0.189876 | − | 0.981808i | \(-0.560809\pi\) | ||
0.189876 | − | 0.981808i | \(-0.439191\pi\) | |||||||
\(194\) | 14.5580 | 1.04520 | ||||||||
\(195\) | −4.03198 | − | 4.35547i | −0.288736 | − | 0.311902i | ||||
\(196\) | −6.17590 | −0.441136 | ||||||||
\(197\) | − | 9.70626i | − | 0.691542i | −0.938319 | − | 0.345771i | \(-0.887617\pi\) | ||
0.938319 | − | 0.345771i | \(-0.112383\pi\) | |||||||
\(198\) | 0.280433i | 0.0199295i | ||||||||
\(199\) | −22.9520 | −1.62703 | −0.813513 | − | 0.581547i | \(-0.802448\pi\) | ||||
−0.813513 | + | 0.581547i | \(0.802448\pi\) | |||||||
\(200\) | 9.06238 | + | 0.700077i | 0.640807 | + | 0.0495029i | ||||
\(201\) | 3.51985 | 0.248271 | ||||||||
\(202\) | − | 3.10553i | − | 0.218504i | ||||||
\(203\) | 0.654317i | 0.0459241i | ||||||||
\(204\) | 3.63050 | 0.254186 | ||||||||
\(205\) | −9.37874 | − | 10.1312i | −0.655040 | − | 0.707594i | ||||
\(206\) | −9.95834 | −0.693831 | ||||||||
\(207\) | 7.69972i | 0.535167i | ||||||||
\(208\) | 13.2619i | 0.919551i | ||||||||
\(209\) | 0.569108 | 0.0393660 | ||||||||
\(210\) | −1.84088 | + | 1.70416i | −0.127033 | + | 0.117598i | ||||
\(211\) | 18.0020 | 1.23931 | 0.619655 | − | 0.784874i | \(-0.287273\pi\) | ||||
0.619655 | + | 0.784874i | \(0.287273\pi\) | |||||||
\(212\) | 3.80378i | 0.261245i | ||||||||
\(213\) | − | 11.7457i | − | 0.804804i | ||||||
\(214\) | 5.97644 | 0.408541 | ||||||||
\(215\) | −17.3192 | + | 16.0329i | −1.18116 | + | 1.09344i | ||||
\(216\) | 1.81788 | 0.123691 | ||||||||
\(217\) | − | 3.30610i | − | 0.224432i | ||||||
\(218\) | 13.9057i | 0.941810i | ||||||||
\(219\) | 1.12143 | 0.0757792 | ||||||||
\(220\) | −0.233481 | − | 0.252213i | −0.0157413 | − | 0.0170042i | ||||
\(221\) | −10.2544 | −0.689783 | ||||||||
\(222\) | − | 18.1580i | − | 1.21869i | ||||||
\(223\) | 19.1383i | 1.28160i | 0.767708 | + | 0.640799i | \(0.221397\pi\) | ||||
−0.767708 | + | 0.640799i | \(0.778603\pi\) | |||||||
\(224\) | 3.22635 | 0.215570 | ||||||||
\(225\) | 0.385107 | − | 4.98515i | 0.0256738 | − | 0.332343i | ||||
\(226\) | −3.54428 | −0.235762 | ||||||||
\(227\) | − | 13.3621i | − | 0.886872i | −0.896306 | − | 0.443436i | \(-0.853759\pi\) | ||
0.896306 | − | 0.443436i | \(-0.146241\pi\) | |||||||
\(228\) | 3.26989i | 0.216554i | ||||||||
\(229\) | −7.45145 | −0.492405 | −0.246203 | − | 0.969218i | \(-0.579183\pi\) | ||||
−0.246203 | + | 0.969218i | \(0.579183\pi\) | |||||||
\(230\) | −20.0538 | − | 21.6627i | −1.32231 | − | 1.42839i | ||||
\(231\) | −0.107019 | −0.00704135 | ||||||||
\(232\) | 1.81788i | 0.119349i | ||||||||
\(233\) | − | 21.5080i | − | 1.40904i | −0.709687 | − | 0.704518i | \(-0.751163\pi\) | ||
0.709687 | − | 0.704518i | \(-0.248837\pi\) | |||||||
\(234\) | 4.55101 | 0.297509 | ||||||||
\(235\) | −16.9072 | + | 15.6515i | −1.10291 | + | 1.02099i | ||||
\(236\) | −0.308927 | −0.0201094 | ||||||||
\(237\) | − | 12.4074i | − | 0.805946i | ||||||
\(238\) | 4.33410i | 0.280938i | ||||||||
\(239\) | −24.1169 | −1.55999 | −0.779997 | − | 0.625784i | \(-0.784779\pi\) | ||||
−0.779997 | + | 0.625784i | \(0.784779\pi\) | |||||||
\(240\) | −8.19854 | + | 7.58963i | −0.529214 | + | 0.489908i | ||||
\(241\) | −7.22805 | −0.465600 | −0.232800 | − | 0.972525i | \(-0.574789\pi\) | ||||
−0.232800 | + | 0.972525i | \(0.574789\pi\) | |||||||
\(242\) | 18.8144i | 1.20944i | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 5.37587 | 0.344155 | ||||||||
\(245\) | 9.98285 | + | 10.7838i | 0.637781 | + | 0.688951i | ||||
\(246\) | 10.5860 | 0.674942 | ||||||||
\(247\) | − | 9.23579i | − | 0.587659i | ||||||
\(248\) | − | 9.18526i | − | 0.583264i | ||||||
\(249\) | −7.89306 | −0.500203 | ||||||||
\(250\) | 11.9002 | + | 15.0284i | 0.752637 | + | 0.950480i | ||||
\(251\) | −8.74458 | −0.551953 | −0.275977 | − | 0.961164i | \(-0.589001\pi\) | ||||
−0.275977 | + | 0.961164i | \(0.589001\pi\) | |||||||
\(252\) | − | 0.614893i | − | 0.0387346i | ||||||
\(253\) | − | 1.25936i | − | 0.0791750i | ||||||
\(254\) | −22.2829 | −1.39815 | ||||||||
\(255\) | −5.86842 | − | 6.33925i | −0.367495 | − | 0.396979i | ||||
\(256\) | 18.3544 | 1.14715 | ||||||||
\(257\) | − | 10.1877i | − | 0.635494i | −0.948176 | − | 0.317747i | \(-0.897074\pi\) | ||
0.948176 | − | 0.317747i | \(-0.102926\pi\) | |||||||
\(258\) | − | 18.0968i | − | 1.12666i | ||||||
\(259\) | 6.92950 | 0.430578 | ||||||||
\(260\) | −4.09304 | + | 3.78905i | −0.253840 | + | 0.234987i | ||||
\(261\) | 1.00000 | 0.0618984 | ||||||||
\(262\) | − | 14.8997i | − | 0.920504i | ||||||
\(263\) | − | 11.6794i | − | 0.720184i | −0.932917 | − | 0.360092i | \(-0.882745\pi\) | ||
0.932917 | − | 0.360092i | \(-0.117255\pi\) | |||||||
\(264\) | −0.297329 | −0.0182994 | ||||||||
\(265\) | 6.64181 | − | 6.14851i | 0.408003 | − | 0.377700i | ||||
\(266\) | −3.90359 | −0.239345 | ||||||||
\(267\) | 5.04702i | 0.308872i | ||||||||
\(268\) | − | 3.30778i | − | 0.202055i | ||||||
\(269\) | −23.0385 | −1.40468 | −0.702342 | − | 0.711839i | \(-0.747862\pi\) | ||||
−0.702342 | + | 0.711839i | \(0.747862\pi\) | |||||||
\(270\) | 2.60448 | + | 2.81344i | 0.158504 | + | 0.171220i | ||||
\(271\) | −4.45505 | −0.270625 | −0.135312 | − | 0.990803i | \(-0.543204\pi\) | ||||
−0.135312 | + | 0.990803i | \(0.543204\pi\) | |||||||
\(272\) | 19.3024i | 1.17038i | ||||||||
\(273\) | 1.73677i | 0.105114i | ||||||||
\(274\) | 24.7842 | 1.49727 | ||||||||
\(275\) | −0.0629876 | + | 0.815364i | −0.00379829 | + | 0.0491683i | ||||
\(276\) | 7.23579 | 0.435543 | ||||||||
\(277\) | 15.7000i | 0.943321i | 0.881780 | + | 0.471661i | \(0.156345\pi\) | ||||
−0.881780 | + | 0.471661i | \(0.843655\pi\) | |||||||
\(278\) | − | 2.95262i | − | 0.177087i | ||||||
\(279\) | −5.05274 | −0.302500 | ||||||||
\(280\) | −1.80683 | − | 1.95180i | −0.107979 | − | 0.116642i | ||||
\(281\) | 13.4721 | 0.803677 | 0.401838 | − | 0.915711i | \(-0.368371\pi\) | ||||
0.401838 | + | 0.915711i | \(0.368371\pi\) | |||||||
\(282\) | − | 17.6663i | − | 1.05201i | ||||||
\(283\) | − | 5.86481i | − | 0.348627i | −0.984690 | − | 0.174313i | \(-0.944229\pi\) | ||
0.984690 | − | 0.174313i | \(-0.0557706\pi\) | |||||||
\(284\) | −11.0380 | −0.654986 | ||||||||
\(285\) | 5.70957 | − | 5.28551i | 0.338206 | − | 0.313087i | ||||
\(286\) | −0.744357 | −0.0440148 | ||||||||
\(287\) | 4.03987i | 0.238466i | ||||||||
\(288\) | − | 4.93087i | − | 0.290554i | ||||||
\(289\) | 2.07510 | 0.122065 | ||||||||
\(290\) | −2.81344 | + | 2.60448i | −0.165211 | + | 0.152940i | ||||
\(291\) | 8.49076 | 0.497737 | ||||||||
\(292\) | − | 1.05386i | − | 0.0616726i | ||||||
\(293\) | 10.3642i | 0.605485i | 0.953072 | + | 0.302742i | \(0.0979022\pi\) | ||||
−0.953072 | + | 0.302742i | \(0.902098\pi\) | |||||||
\(294\) | −11.2679 | −0.657159 | ||||||||
\(295\) | 0.499356 | + | 0.539420i | 0.0290737 | + | 0.0314062i | ||||
\(296\) | 19.2521 | 1.11901 | ||||||||
\(297\) | 0.163559i | 0.00949064i | ||||||||
\(298\) | 27.6836i | 1.60367i | ||||||||
\(299\) | −20.4375 | −1.18193 | ||||||||
\(300\) | −4.68478 | − | 0.361903i | −0.270476 | − | 0.0208945i | ||||
\(301\) | 6.90614 | 0.398063 | ||||||||
\(302\) | 1.25692i | 0.0723277i | ||||||||
\(303\) | − | 1.81126i | − | 0.104054i | ||||||
\(304\) | −17.3850 | −0.997101 | ||||||||
\(305\) | −8.68967 | − | 9.38684i | −0.497569 | − | 0.537489i | ||||
\(306\) | 6.62385 | 0.378660 | ||||||||
\(307\) | − | 16.0760i | − | 0.917504i | −0.888564 | − | 0.458752i | \(-0.848297\pi\) | ||
0.888564 | − | 0.458752i | \(-0.151703\pi\) | |||||||
\(308\) | 0.100571i | 0.00573057i | ||||||||
\(309\) | −5.80807 | −0.330410 | ||||||||
\(310\) | 14.2156 | − | 13.1598i | 0.807390 | − | 0.747424i | ||||
\(311\) | 16.9976 | 0.963846 | 0.481923 | − | 0.876214i | \(-0.339939\pi\) | ||||
0.481923 | + | 0.876214i | \(0.339939\pi\) | |||||||
\(312\) | 4.82522i | 0.273174i | ||||||||
\(313\) | − | 25.2391i | − | 1.42660i | −0.700858 | − | 0.713300i | \(-0.747200\pi\) | ||
0.700858 | − | 0.713300i | \(-0.252800\pi\) | |||||||
\(314\) | 18.5636 | 1.04760 | ||||||||
\(315\) | −1.07367 | + | 0.993926i | −0.0604944 | + | 0.0560014i | ||||
\(316\) | −11.6598 | −0.655916 | ||||||||
\(317\) | 3.06731i | 0.172277i | 0.996283 | + | 0.0861386i | \(0.0274528\pi\) | ||||
−0.996283 | + | 0.0861386i | \(0.972547\pi\) | |||||||
\(318\) | 6.94000i | 0.389176i | ||||||||
\(319\) | −0.163559 | −0.00915753 | ||||||||
\(320\) | −2.33690 | − | 2.52439i | −0.130637 | − | 0.141118i | ||||
\(321\) | 3.48568 | 0.194552 | ||||||||
\(322\) | 8.63810i | 0.481382i | ||||||||
\(323\) | − | 13.4424i | − | 0.747955i | ||||||
\(324\) | −0.939748 | −0.0522082 | ||||||||
\(325\) | 13.2322 | + | 1.02220i | 0.733988 | + | 0.0567012i | ||||
\(326\) | 23.2372 | 1.28699 | ||||||||
\(327\) | 8.11029i | 0.448500i | ||||||||
\(328\) | 11.2239i | 0.619735i | ||||||||
\(329\) | 6.74185 | 0.371690 | ||||||||
\(330\) | −0.425985 | − | 0.460162i | −0.0234497 | − | 0.0253311i | ||||
\(331\) | −19.9971 | −1.09914 | −0.549571 | − | 0.835447i | \(-0.685209\pi\) | ||||
−0.549571 | + | 0.835447i | \(0.685209\pi\) | |||||||
\(332\) | 7.41749i | 0.407088i | ||||||||
\(333\) | − | 10.5904i | − | 0.580352i | ||||||
\(334\) | 31.6631 | 1.73253 | ||||||||
\(335\) | −5.77573 | + | 5.34676i | −0.315562 | + | 0.292125i | ||||
\(336\) | 3.26921 | 0.178350 | ||||||||
\(337\) | − | 6.45613i | − | 0.351688i | −0.984418 | − | 0.175844i | \(-0.943735\pi\) | ||
0.984418 | − | 0.175844i | \(-0.0562654\pi\) | |||||||
\(338\) | − | 10.2096i | − | 0.555328i | ||||||
\(339\) | −2.06715 | −0.112272 | ||||||||
\(340\) | −5.95730 | + | 5.51484i | −0.323080 | + | 0.299084i | ||||
\(341\) | 0.826420 | 0.0447531 | ||||||||
\(342\) | 5.96591i | 0.322599i | ||||||||
\(343\) | − | 8.88031i | − | 0.479491i | ||||||
\(344\) | 19.1872 | 1.03450 | ||||||||
\(345\) | −11.6961 | − | 12.6345i | −0.629696 | − | 0.680217i | ||||
\(346\) | 15.3074 | 0.822932 | ||||||||
\(347\) | − | 14.9415i | − | 0.802099i | −0.916056 | − | 0.401050i | \(-0.868645\pi\) | ||
0.916056 | − | 0.401050i | \(-0.131355\pi\) | |||||||
\(348\) | − | 0.939748i | − | 0.0503758i | ||||||
\(349\) | 12.1055 | 0.647992 | 0.323996 | − | 0.946058i | \(-0.394974\pi\) | ||||
0.323996 | + | 0.946058i | \(0.394974\pi\) | |||||||
\(350\) | 0.432041 | − | 5.59270i | 0.0230935 | − | 0.298942i | ||||
\(351\) | 2.65432 | 0.141677 | ||||||||
\(352\) | 0.806487i | 0.0429859i | ||||||||
\(353\) | 18.1937i | 0.968355i | 0.874970 | + | 0.484178i | \(0.160881\pi\) | ||||
−0.874970 | + | 0.484178i | \(0.839119\pi\) | |||||||
\(354\) | −0.563637 | −0.0299570 | ||||||||
\(355\) | 17.8421 | + | 19.2736i | 0.946960 | + | 1.02293i | ||||
\(356\) | 4.74292 | 0.251374 | ||||||||
\(357\) | 2.52781i | 0.133786i | ||||||||
\(358\) | − | 3.20447i | − | 0.169361i | ||||||
\(359\) | 35.1010 | 1.85256 | 0.926279 | − | 0.376838i | \(-0.122989\pi\) | ||||
0.926279 | + | 0.376838i | \(0.122989\pi\) | |||||||
\(360\) | −2.98295 | + | 2.76140i | −0.157215 | + | 0.145539i | ||||
\(361\) | −6.89283 | −0.362780 | ||||||||
\(362\) | − | 28.9508i | − | 1.52162i | ||||||
\(363\) | 10.9732i | 0.575946i | ||||||||
\(364\) | 1.63212 | 0.0855464 | ||||||||
\(365\) | −1.84015 | + | 1.70348i | −0.0963181 | + | 0.0891644i | ||||
\(366\) | 9.80827 | 0.512686 | ||||||||
\(367\) | 23.1943i | 1.21073i | 0.795946 | + | 0.605367i | \(0.206974\pi\) | ||||
−0.795946 | + | 0.605367i | \(0.793026\pi\) | |||||||
\(368\) | 38.4706i | 2.00542i | ||||||||
\(369\) | 6.17417 | 0.321415 | ||||||||
\(370\) | 27.5826 | + | 29.7955i | 1.43395 | + | 1.54900i | ||||
\(371\) | −2.64845 | −0.137501 | ||||||||
\(372\) | 4.74830i | 0.246188i | ||||||||
\(373\) | 4.99469i | 0.258615i | 0.991605 | + | 0.129308i | \(0.0412754\pi\) | ||||
−0.991605 | + | 0.129308i | \(0.958725\pi\) | |||||||
\(374\) | −1.08339 | −0.0560207 | ||||||||
\(375\) | 6.94066 | + | 8.76512i | 0.358414 | + | 0.452629i | ||||
\(376\) | 18.7307 | 0.965964 | ||||||||
\(377\) | 2.65432i | 0.136704i | ||||||||
\(378\) | − | 1.12187i | − | 0.0577029i | ||||||
\(379\) | 28.7738 | 1.47801 | 0.739006 | − | 0.673699i | \(-0.235296\pi\) | ||||
0.739006 | + | 0.673699i | \(0.235296\pi\) | |||||||
\(380\) | −4.96705 | − | 5.36556i | −0.254804 | − | 0.275247i | ||||
\(381\) | −12.9962 | −0.665816 | ||||||||
\(382\) | − | 13.0080i | − | 0.665550i | ||||||
\(383\) | 24.9482i | 1.27479i | 0.770537 | + | 0.637396i | \(0.219988\pi\) | ||||
−0.770537 | + | 0.637396i | \(0.780012\pi\) | |||||||
\(384\) | 12.4995 | 0.637861 | ||||||||
\(385\) | 0.175608 | − | 0.162565i | 0.00894981 | − | 0.00828509i | ||||
\(386\) | −46.7725 | −2.38066 | ||||||||
\(387\) | − | 10.5547i | − | 0.536527i | ||||||
\(388\) | − | 7.97917i | − | 0.405081i | ||||||
\(389\) | −31.0949 | −1.57657 | −0.788286 | − | 0.615308i | \(-0.789031\pi\) | ||||
−0.788286 | + | 0.615308i | \(0.789031\pi\) | |||||||
\(390\) | −7.46775 | + | 6.91311i | −0.378144 | + | 0.350059i | ||||
\(391\) | −29.7461 | −1.50433 | ||||||||
\(392\) | − | 11.9468i | − | 0.603407i | ||||||
\(393\) | − | 8.69003i | − | 0.438354i | ||||||
\(394\) | −16.6421 | −0.838414 | ||||||||
\(395\) | 18.8472 | + | 20.3593i | 0.948304 | + | 1.02439i | ||||
\(396\) | 0.153704 | 0.00772391 | ||||||||
\(397\) | − | 12.1948i | − | 0.612038i | −0.952025 | − | 0.306019i | \(-0.901003\pi\) | ||
0.952025 | − | 0.306019i | \(-0.0989971\pi\) | |||||||
\(398\) | 39.3528i | 1.97258i | ||||||||
\(399\) | −2.27672 | −0.113979 | ||||||||
\(400\) | 1.92414 | − | 24.9076i | 0.0962068 | − | 1.24538i | ||||
\(401\) | 4.33039 | 0.216249 | 0.108125 | − | 0.994137i | \(-0.465515\pi\) | ||||
0.108125 | + | 0.994137i | \(0.465515\pi\) | |||||||
\(402\) | − | 6.03504i | − | 0.301000i | ||||||
\(403\) | − | 13.4116i | − | 0.668078i | ||||||
\(404\) | −1.70213 | −0.0846841 | ||||||||
\(405\) | 1.51903 | + | 1.64090i | 0.0754811 | + | 0.0815370i | ||||
\(406\) | 1.12187 | 0.0556776 | ||||||||
\(407\) | 1.73216i | 0.0858599i | ||||||||
\(408\) | 7.02295i | 0.347688i | ||||||||
\(409\) | −5.12178 | −0.253256 | −0.126628 | − | 0.991950i | \(-0.540415\pi\) | ||||
−0.126628 | + | 0.991950i | \(0.540415\pi\) | |||||||
\(410\) | −17.3706 | + | 16.0805i | −0.857875 | + | 0.794159i | ||||
\(411\) | 14.4550 | 0.713015 | ||||||||
\(412\) | 5.45812i | 0.268902i | ||||||||
\(413\) | − | 0.215096i | − | 0.0105842i | ||||||
\(414\) | 13.2017 | 0.648828 | ||||||||
\(415\) | 12.9517 | − | 11.9898i | 0.635775 | − | 0.588555i | ||||
\(416\) | 13.0881 | 0.641697 | ||||||||
\(417\) | − | 1.72208i | − | 0.0843306i | ||||||
\(418\) | − | 0.975776i | − | 0.0477267i | ||||||
\(419\) | −14.1945 | −0.693445 | −0.346723 | − | 0.937968i | \(-0.612705\pi\) | ||||
−0.346723 | + | 0.937968i | \(0.612705\pi\) | |||||||
\(420\) | 0.934040 | + | 1.00898i | 0.0455765 | + | 0.0492331i | ||||
\(421\) | 4.83364 | 0.235577 | 0.117789 | − | 0.993039i | \(-0.462419\pi\) | ||||
0.117789 | + | 0.993039i | \(0.462419\pi\) | |||||||
\(422\) | − | 30.8657i | − | 1.50252i | ||||||
\(423\) | − | 10.3036i | − | 0.500980i | ||||||
\(424\) | −7.35815 | −0.357343 | ||||||||
\(425\) | 19.2590 | + | 1.48777i | 0.934198 | + | 0.0721676i | ||||
\(426\) | −20.1389 | −0.975731 | ||||||||
\(427\) | 3.74305i | 0.181139i | ||||||||
\(428\) | − | 3.27566i | − | 0.158335i | ||||||
\(429\) | −0.434137 | −0.0209603 | ||||||||
\(430\) | 27.4896 | + | 29.6950i | 1.32566 | + | 1.43202i | ||||
\(431\) | −18.0910 | −0.871411 | −0.435706 | − | 0.900089i | \(-0.643501\pi\) | ||||
−0.435706 | + | 0.900089i | \(0.643501\pi\) | |||||||
\(432\) | − | 4.99637i | − | 0.240388i | ||||||
\(433\) | 1.71005i | 0.0821798i | 0.999155 | + | 0.0410899i | \(0.0130830\pi\) | ||||
−0.999155 | + | 0.0410899i | \(0.986917\pi\) | |||||||
\(434\) | −5.66853 | −0.272098 | ||||||||
\(435\) | −1.64090 | + | 1.51903i | −0.0786751 | + | 0.0728318i | ||||
\(436\) | 7.62163 | 0.365010 | ||||||||
\(437\) | − | 26.7914i | − | 1.28161i | ||||||
\(438\) | − | 1.92277i | − | 0.0918734i | ||||||
\(439\) | −24.3533 | −1.16232 | −0.581160 | − | 0.813789i | \(-0.697401\pi\) | ||||
−0.581160 | + | 0.813789i | \(0.697401\pi\) | |||||||
\(440\) | 0.487888 | − | 0.451652i | 0.0232591 | − | 0.0215316i | ||||
\(441\) | −6.57187 | −0.312946 | ||||||||
\(442\) | 17.5818i | 0.836281i | ||||||||
\(443\) | − | 18.9066i | − | 0.898280i | −0.893461 | − | 0.449140i | \(-0.851730\pi\) | ||
0.893461 | − | 0.449140i | \(-0.148270\pi\) | |||||||
\(444\) | −9.95234 | −0.472317 | ||||||||
\(445\) | −7.66656 | − | 8.28165i | −0.363430 | − | 0.392588i | ||||
\(446\) | 32.8140 | 1.55379 | ||||||||
\(447\) | 16.1461i | 0.763684i | ||||||||
\(448\) | 1.00661i | 0.0475581i | ||||||||
\(449\) | −25.2808 | −1.19307 | −0.596537 | − | 0.802586i | \(-0.703457\pi\) | ||||
−0.596537 | + | 0.802586i | \(0.703457\pi\) | |||||||
\(450\) | −8.54738 | − | 0.660292i | −0.402927 | − | 0.0311265i | ||||
\(451\) | −1.00984 | −0.0475515 | ||||||||
\(452\) | 1.94260i | 0.0913723i | ||||||||
\(453\) | 0.733083i | 0.0344432i | ||||||||
\(454\) | −22.9102 | −1.07523 | ||||||||
\(455\) | −2.63820 | − | 2.84986i | −0.123680 | − | 0.133603i | ||||
\(456\) | −6.32536 | −0.296212 | ||||||||
\(457\) | 4.25835i | 0.199197i | 0.995028 | + | 0.0995986i | \(0.0317559\pi\) | ||||
−0.995028 | + | 0.0995986i | \(0.968244\pi\) | |||||||
\(458\) | 12.7760i | 0.596984i | ||||||||
\(459\) | 3.86328 | 0.180322 | ||||||||
\(460\) | −11.8732 | + | 10.9914i | −0.553591 | + | 0.512475i | ||||
\(461\) | 2.48353 | 0.115670 | 0.0578349 | − | 0.998326i | \(-0.481580\pi\) | ||||
0.0578349 | + | 0.998326i | \(0.481580\pi\) | |||||||
\(462\) | 0.183492i | 0.00853682i | ||||||||
\(463\) | − | 27.4876i | − | 1.27746i | −0.769433 | − | 0.638728i | \(-0.779461\pi\) | ||
0.769433 | − | 0.638728i | \(-0.220539\pi\) | |||||||
\(464\) | 4.99637 | 0.231951 | ||||||||
\(465\) | 8.29105 | − | 7.67526i | 0.384488 | − | 0.355932i | ||||
\(466\) | −36.8769 | −1.70829 | ||||||||
\(467\) | − | 6.24698i | − | 0.289076i | −0.989499 | − | 0.144538i | \(-0.953830\pi\) | ||
0.989499 | − | 0.144538i | \(-0.0461695\pi\) | |||||||
\(468\) | − | 2.49439i | − | 0.115303i | ||||||
\(469\) | 2.30310 | 0.106347 | ||||||||
\(470\) | 26.8356 | + | 28.9886i | 1.23783 | + | 1.33715i | ||||
\(471\) | 10.8270 | 0.498880 | ||||||||
\(472\) | − | 0.597598i | − | 0.0275067i | ||||||
\(473\) | 1.72632i | 0.0793761i | ||||||||
\(474\) | −21.2733 | −0.977116 | ||||||||
\(475\) | −1.33999 | + | 17.3460i | −0.0614831 | + | 0.795889i | ||||
\(476\) | 2.37550 | 0.108881 | ||||||||
\(477\) | 4.04766i | 0.185330i | ||||||||
\(478\) | 41.3501i | 1.89131i | ||||||||
\(479\) | 11.5736 | 0.528812 | 0.264406 | − | 0.964412i | \(-0.414824\pi\) | ||||
0.264406 | + | 0.964412i | \(0.414824\pi\) | |||||||
\(480\) | 7.49013 | + | 8.09107i | 0.341876 | + | 0.369305i | ||||
\(481\) | 28.1104 | 1.28172 | ||||||||
\(482\) | 12.3930i | 0.564485i | ||||||||
\(483\) | 5.03806i | 0.229240i | ||||||||
\(484\) | 10.3121 | 0.468731 | ||||||||
\(485\) | −13.9325 | + | 12.8977i | −0.632642 | + | 0.585654i | ||||
\(486\) | −1.71457 | −0.0777744 | ||||||||
\(487\) | − | 31.1947i | − | 1.41357i | −0.707431 | − | 0.706783i | \(-0.750146\pi\) | ||
0.707431 | − | 0.706783i | \(-0.249854\pi\) | |||||||
\(488\) | 10.3992i | 0.470751i | ||||||||
\(489\) | 13.5528 | 0.612878 | ||||||||
\(490\) | 18.4895 | − | 17.1163i | 0.835272 | − | 0.773235i | ||||
\(491\) | −7.93512 | −0.358107 | −0.179053 | − | 0.983839i | \(-0.557303\pi\) | ||||
−0.179053 | + | 0.983839i | \(0.557303\pi\) | |||||||
\(492\) | − | 5.80216i | − | 0.261582i | ||||||
\(493\) | 3.86328i | 0.173993i | ||||||||
\(494\) | −15.8354 | −0.712469 | ||||||||
\(495\) | −0.248450 | − | 0.268383i | −0.0111670 | − | 0.0120629i | ||||
\(496\) | −25.2454 | −1.13355 | ||||||||
\(497\) | − | 7.68543i | − | 0.344739i | ||||||
\(498\) | 13.5332i | 0.606437i | ||||||||
\(499\) | 32.8984 | 1.47274 | 0.736368 | − | 0.676581i | \(-0.236539\pi\) | ||||
0.736368 | + | 0.676581i | \(0.236539\pi\) | |||||||
\(500\) | 8.23700 | − | 6.52247i | 0.368370 | − | 0.291694i | ||||
\(501\) | 18.4671 | 0.825047 | ||||||||
\(502\) | 14.9932i | 0.669179i | ||||||||
\(503\) | 40.7038i | 1.81489i | 0.420168 | + | 0.907446i | \(0.361971\pi\) | ||||
−0.420168 | + | 0.907446i | \(0.638029\pi\) | |||||||
\(504\) | 1.18947 | 0.0529831 | ||||||||
\(505\) | 2.75136 | + | 2.97210i | 0.122434 | + | 0.132257i | ||||
\(506\) | −2.15925 | −0.0959905 | ||||||||
\(507\) | − | 5.95460i | − | 0.264453i | ||||||
\(508\) | 12.2132i | 0.541871i | ||||||||
\(509\) | 36.9407 | 1.63737 | 0.818684 | − | 0.574245i | \(-0.194704\pi\) | ||||
0.818684 | + | 0.574245i | \(0.194704\pi\) | |||||||
\(510\) | −10.8691 | + | 10.0618i | −0.481291 | + | 0.445545i | ||||
\(511\) | 0.733771 | 0.0324601 | ||||||||
\(512\) | − | 6.47089i | − | 0.285976i | ||||||
\(513\) | 3.47954i | 0.153625i | ||||||||
\(514\) | −17.4676 | −0.770462 | ||||||||
\(515\) | 9.53047 | − | 8.82263i | 0.419963 | − | 0.388771i | ||||
\(516\) | −9.91878 | −0.436650 | ||||||||
\(517\) | 1.68525i | 0.0741172i | ||||||||
\(518\) | − | 11.8811i | − | 0.522026i | ||||||
\(519\) | 8.92785 | 0.391889 | ||||||||
\(520\) | −7.32964 | − | 7.91770i | −0.321426 | − | 0.347214i | ||||
\(521\) | −33.2555 | −1.45695 | −0.728476 | − | 0.685072i | \(-0.759771\pi\) | ||||
−0.728476 | + | 0.685072i | \(0.759771\pi\) | |||||||
\(522\) | − | 1.71457i | − | 0.0750447i | ||||||
\(523\) | 0.341001i | 0.0149109i | 0.999972 | + | 0.00745547i | \(0.00237317\pi\) | ||||
−0.999972 | + | 0.00745547i | \(0.997627\pi\) | |||||||
\(524\) | −8.16644 | −0.356752 | ||||||||
\(525\) | 0.251982 | − | 3.26187i | 0.0109974 | − | 0.142360i | ||||
\(526\) | −20.0252 | −0.873139 | ||||||||
\(527\) | − | 19.5201i | − | 0.850310i | ||||||
\(528\) | 0.817200i | 0.0355640i | ||||||||
\(529\) | −36.2856 | −1.57764 | ||||||||
\(530\) | −10.5421 | − | 11.3878i | −0.457917 | − | 0.494656i | ||||
\(531\) | −0.328734 | −0.0142658 | ||||||||
\(532\) | 2.13954i | 0.0927609i | ||||||||
\(533\) | 16.3882i | 0.709852i | ||||||||
\(534\) | 8.65346 | 0.374472 | ||||||||
\(535\) | −5.71965 | + | 5.29484i | −0.247282 | + | 0.228916i | ||||
\(536\) | 6.39866 | 0.276380 | ||||||||
\(537\) | − | 1.86896i | − | 0.0806518i | ||||||
\(538\) | 39.5012i | 1.70302i | ||||||||
\(539\) | 1.07489 | 0.0462986 | ||||||||
\(540\) | 1.54203 | − | 1.42750i | 0.0663585 | − | 0.0614300i | ||||
\(541\) | −18.4196 | −0.791919 | −0.395960 | − | 0.918268i | \(-0.629588\pi\) | ||||
−0.395960 | + | 0.918268i | \(0.629588\pi\) | |||||||
\(542\) | 7.63849i | 0.328101i | ||||||||
\(543\) | − | 16.8852i | − | 0.724613i | ||||||
\(544\) | 19.0493 | 0.816732 | ||||||||
\(545\) | −12.3198 | − | 13.3082i | −0.527720 | − | 0.570060i | ||||
\(546\) | 2.97780 | 0.127438 | ||||||||
\(547\) | 42.5936i | 1.82117i | 0.413320 | + | 0.910586i | \(0.364369\pi\) | ||||
−0.413320 | + | 0.910586i | \(0.635631\pi\) | |||||||
\(548\) | − | 13.5841i | − | 0.580284i | ||||||
\(549\) | 5.72054 | 0.244147 | ||||||||
\(550\) | 1.39800 | + | 0.107997i | 0.0596108 | + | 0.00460499i | ||||
\(551\) | −3.47954 | −0.148233 | ||||||||
\(552\) | 13.9971i | 0.595757i | ||||||||
\(553\) | − | 8.11836i | − | 0.345228i | ||||||
\(554\) | 26.9187 | 1.14367 | ||||||||
\(555\) | 16.0872 | + | 17.3778i | 0.682862 | + | 0.737648i | ||||
\(556\) | −1.61832 | −0.0686321 | ||||||||
\(557\) | 17.5805i | 0.744908i | 0.928051 | + | 0.372454i | \(0.121484\pi\) | ||||
−0.928051 | + | 0.372454i | \(0.878516\pi\) | |||||||
\(558\) | 8.66328i | 0.366746i | ||||||||
\(559\) | 28.0156 | 1.18493 | ||||||||
\(560\) | −5.36445 | + | 4.96602i | −0.226689 | + | 0.209853i | ||||
\(561\) | −0.631872 | −0.0266777 | ||||||||
\(562\) | − | 23.0988i | − | 0.974365i | ||||||
\(563\) | − | 6.29621i | − | 0.265354i | −0.991159 | − | 0.132677i | \(-0.957643\pi\) | ||
0.991159 | − | 0.132677i | \(-0.0423572\pi\) | |||||||
\(564\) | −9.68282 | −0.407720 | ||||||||
\(565\) | 3.39199 | − | 3.14006i | 0.142702 | − | 0.132103i | ||||
\(566\) | −10.0556 | −0.422669 | ||||||||
\(567\) | − | 0.654317i | − | 0.0274787i | ||||||
\(568\) | − | 21.3523i | − | 0.895921i | ||||||
\(569\) | 42.3981 | 1.77742 | 0.888710 | − | 0.458469i | \(-0.151602\pi\) | ||||
0.888710 | + | 0.458469i | \(0.151602\pi\) | |||||||
\(570\) | −9.06238 | − | 9.78946i | −0.379581 | − | 0.410035i | ||||
\(571\) | −18.4882 | −0.773708 | −0.386854 | − | 0.922141i | \(-0.626438\pi\) | ||||
−0.386854 | + | 0.922141i | \(0.626438\pi\) | |||||||
\(572\) | 0.407979i | 0.0170585i | ||||||||
\(573\) | − | 7.58677i | − | 0.316942i | ||||||
\(574\) | 6.92663 | 0.289112 | ||||||||
\(575\) | 38.3842 | + | 2.96521i | 1.60073 | + | 0.123658i | ||||
\(576\) | 1.53842 | 0.0641009 | ||||||||
\(577\) | − | 22.0727i | − | 0.918897i | −0.888204 | − | 0.459448i | \(-0.848047\pi\) | ||
0.888204 | − | 0.459448i | \(-0.151953\pi\) | |||||||
\(578\) | − | 3.55791i | − | 0.147990i | ||||||
\(579\) | −27.2794 | −1.13369 | ||||||||
\(580\) | 1.42750 | + | 1.54203i | 0.0592739 | + | 0.0640294i | ||||
\(581\) | −5.16457 | −0.214262 | ||||||||
\(582\) | − | 14.5580i | − | 0.603448i | ||||||
\(583\) | − | 0.662030i | − | 0.0274185i | ||||||
\(584\) | 2.03862 | 0.0843587 | ||||||||
\(585\) | −4.35547 | + | 4.03198i | −0.180077 | + | 0.166702i | ||||
\(586\) | 17.7702 | 0.734080 | ||||||||
\(587\) | − | 44.1932i | − | 1.82405i | −0.410136 | − | 0.912024i | \(-0.634519\pi\) | ||
0.410136 | − | 0.912024i | \(-0.365481\pi\) | |||||||
\(588\) | 6.17590i | 0.254690i | ||||||||
\(589\) | 17.5812 | 0.724421 | ||||||||
\(590\) | 0.924873 | − | 0.856181i | 0.0380764 | − | 0.0352484i | ||||
\(591\) | −9.70626 | −0.399262 | ||||||||
\(592\) | − | 52.9137i | − | 2.17474i | ||||||
\(593\) | − | 17.4159i | − | 0.715184i | −0.933878 | − | 0.357592i | \(-0.883598\pi\) | ||
0.933878 | − | 0.357592i | \(-0.116402\pi\) | |||||||
\(594\) | 0.280433 | 0.0115063 | ||||||||
\(595\) | −3.83981 | − | 4.14788i | −0.157417 | − | 0.170046i | ||||
\(596\) | 15.1732 | 0.621520 | ||||||||
\(597\) | 22.9520i | 0.939364i | ||||||||
\(598\) | 35.0415i | 1.43295i | ||||||||
\(599\) | −7.70544 | −0.314836 | −0.157418 | − | 0.987532i | \(-0.550317\pi\) | ||||
−0.157418 | + | 0.987532i | \(0.550317\pi\) | |||||||
\(600\) | 0.700077 | − | 9.06238i | 0.0285805 | − | 0.369970i | ||||
\(601\) | −31.5500 | −1.28695 | −0.643476 | − | 0.765466i | \(-0.722508\pi\) | ||||
−0.643476 | + | 0.765466i | \(0.722508\pi\) | |||||||
\(602\) | − | 11.8410i | − | 0.482605i | ||||||
\(603\) | − | 3.51985i | − | 0.143340i | ||||||
\(604\) | 0.688913 | 0.0280315 | ||||||||
\(605\) | −16.6687 | − | 18.0060i | −0.677678 | − | 0.732048i | ||||
\(606\) | −3.10553 | −0.126154 | ||||||||
\(607\) | − | 13.2516i | − | 0.537864i | −0.963159 | − | 0.268932i | \(-0.913329\pi\) | ||
0.963159 | − | 0.268932i | \(-0.0866707\pi\) | |||||||
\(608\) | 17.1571i | 0.695814i | ||||||||
\(609\) | 0.654317 | 0.0265143 | ||||||||
\(610\) | −16.0944 | + | 14.8990i | −0.651643 | + | 0.603244i | ||||
\(611\) | 27.3491 | 1.10643 | ||||||||
\(612\) | − | 3.63050i | − | 0.146754i | ||||||
\(613\) | − | 29.4609i | − | 1.18991i | −0.803758 | − | 0.594957i | \(-0.797169\pi\) | ||
0.803758 | − | 0.594957i | \(-0.202831\pi\) | |||||||
\(614\) | −27.5634 | −1.11237 | ||||||||
\(615\) | −10.1312 | + | 9.37874i | −0.408529 | + | 0.378187i | ||||
\(616\) | −0.194548 | −0.00783855 | ||||||||
\(617\) | − | 5.61068i | − | 0.225877i | −0.993602 | − | 0.112939i | \(-0.963974\pi\) | ||
0.993602 | − | 0.112939i | \(-0.0360264\pi\) | |||||||
\(618\) | 9.95834i | 0.400583i | ||||||||
\(619\) | −40.5248 | −1.62883 | −0.814415 | − | 0.580282i | \(-0.802942\pi\) | ||||
−0.814415 | + | 0.580282i | \(0.802942\pi\) | |||||||
\(620\) | −7.21281 | − | 7.79149i | −0.289673 | − | 0.312914i | ||||
\(621\) | 7.69972 | 0.308979 | ||||||||
\(622\) | − | 29.1436i | − | 1.16855i | ||||||
\(623\) | 3.30235i | 0.132306i | ||||||||
\(624\) | 13.2619 | 0.530903 | ||||||||
\(625\) | −24.7034 | − | 3.83963i | −0.988135 | − | 0.153585i | ||||
\(626\) | −43.2743 | −1.72959 | ||||||||
\(627\) | − | 0.569108i | − | 0.0227280i | ||||||
\(628\) | − | 10.1746i | − | 0.406011i | ||||||
\(629\) | 40.9138 | 1.63134 | ||||||||
\(630\) | 1.70416 | + | 1.84088i | 0.0678952 | + | 0.0733424i | ||||
\(631\) | −20.2197 | −0.804935 | −0.402467 | − | 0.915434i | \(-0.631847\pi\) | ||||
−0.402467 | + | 0.915434i | \(0.631847\pi\) | |||||||
\(632\) | − | 22.5551i | − | 0.897193i | ||||||
\(633\) | − | 18.0020i | − | 0.715516i | ||||||
\(634\) | 5.25911 | 0.208866 | ||||||||
\(635\) | 21.3255 | − | 19.7416i | 0.846276 | − | 0.783421i | ||||
\(636\) | 3.80378 | 0.150830 | ||||||||
\(637\) | − | 17.4438i | − | 0.691149i | ||||||
\(638\) | 0.280433i | 0.0111024i | ||||||||
\(639\) | −11.7457 | −0.464654 | ||||||||
\(640\) | −20.5104 | + | 18.9870i | −0.810744 | + | 0.750529i | ||||
\(641\) | −44.0804 | −1.74107 | −0.870535 | − | 0.492107i | \(-0.836227\pi\) | ||||
−0.870535 | + | 0.492107i | \(0.836227\pi\) | |||||||
\(642\) | − | 5.97644i | − | 0.235871i | ||||||
\(643\) | − | 3.56303i | − | 0.140512i | −0.997529 | − | 0.0702561i | \(-0.977618\pi\) | ||
0.997529 | − | 0.0702561i | \(-0.0223816\pi\) | |||||||
\(644\) | 4.73450 | 0.186566 | ||||||||
\(645\) | 16.0329 | + | 17.3192i | 0.631296 | + | 0.681945i | ||||
\(646\) | −23.0479 | −0.906809 | ||||||||
\(647\) | − | 40.7523i | − | 1.60214i | −0.598573 | − | 0.801069i | \(-0.704265\pi\) | ||
0.598573 | − | 0.801069i | \(-0.295735\pi\) | |||||||
\(648\) | − | 1.81788i | − | 0.0714129i | ||||||
\(649\) | 0.0537673 | 0.00211055 | ||||||||
\(650\) | 1.75263 | − | 22.6875i | 0.0687436 | − | 0.889875i | ||||
\(651\) | −3.30610 | −0.129576 | ||||||||
\(652\) | − | 12.7362i | − | 0.498788i | ||||||
\(653\) | 11.6902i | 0.457472i | 0.973489 | + | 0.228736i | \(0.0734592\pi\) | ||||
−0.973489 | + | 0.228736i | \(0.926541\pi\) | |||||||
\(654\) | 13.9057 | 0.543754 | ||||||||
\(655\) | 13.2004 | + | 14.2595i | 0.515782 | + | 0.557164i | ||||
\(656\) | 30.8484 | 1.20443 | ||||||||
\(657\) | − | 1.12143i | − | 0.0437511i | ||||||
\(658\) | − | 11.5594i | − | 0.450631i | ||||||
\(659\) | 28.1795 | 1.09772 | 0.548858 | − | 0.835915i | \(-0.315063\pi\) | ||||
0.548858 | + | 0.835915i | \(0.315063\pi\) | |||||||
\(660\) | −0.252213 | + | 0.233481i | −0.00981737 | + | 0.00908822i | ||||
\(661\) | −20.6736 | −0.804108 | −0.402054 | − | 0.915616i | \(-0.631704\pi\) | ||||
−0.402054 | + | 0.915616i | \(0.631704\pi\) | |||||||
\(662\) | 34.2865i | 1.33258i | ||||||||
\(663\) | 10.2544i | 0.398246i | ||||||||
\(664\) | −14.3486 | −0.556834 | ||||||||
\(665\) | 3.73587 | − | 3.45840i | 0.144871 | − | 0.134111i | ||||
\(666\) | −18.1580 | −0.703610 | ||||||||
\(667\) | 7.69972i | 0.298134i | ||||||||
\(668\) | − | 17.3544i | − | 0.671461i | ||||||
\(669\) | 19.1383 | 0.739931 | ||||||||
\(670\) | 9.16739 | + | 9.90289i | 0.354167 | + | 0.382582i | ||||
\(671\) | −0.935645 | −0.0361202 | ||||||||
\(672\) | − | 3.22635i | − | 0.124459i | ||||||
\(673\) | − | 44.7915i | − | 1.72659i | −0.504703 | − | 0.863293i | \(-0.668398\pi\) | ||
0.504703 | − | 0.863293i | \(-0.331602\pi\) | |||||||
\(674\) | −11.0695 | −0.426380 | ||||||||
\(675\) | −4.98515 | − | 0.385107i | −0.191878 | − | 0.0148228i | ||||
\(676\) | −5.59582 | −0.215224 | ||||||||
\(677\) | 16.8746i | 0.648542i | 0.945964 | + | 0.324271i | \(0.105119\pi\) | ||||
−0.945964 | + | 0.324271i | \(0.894881\pi\) | |||||||
\(678\) | 3.54428i | 0.136117i | ||||||||
\(679\) | 5.55565 | 0.213206 | ||||||||
\(680\) | −10.6681 | − | 11.5240i | −0.409102 | − | 0.441924i | ||||
\(681\) | −13.3621 | −0.512036 | ||||||||
\(682\) | − | 1.41695i | − | 0.0542580i | ||||||
\(683\) | 28.6207i | 1.09514i | 0.836759 | + | 0.547571i | \(0.184447\pi\) | ||||
−0.836759 | + | 0.547571i | \(0.815553\pi\) | |||||||
\(684\) | 3.26989 | 0.125027 | ||||||||
\(685\) | −23.7193 | + | 21.9576i | −0.906267 | + | 0.838958i | ||||
\(686\) | −15.2259 | −0.581328 | ||||||||
\(687\) | 7.45145i | 0.284290i | ||||||||
\(688\) | − | 52.7353i | − | 2.01051i | ||||||
\(689\) | −10.7438 | −0.409305 | ||||||||
\(690\) | −21.6627 | + | 20.0538i | −0.824684 | + | 0.763433i | ||||
\(691\) | −28.5928 | −1.08772 | −0.543861 | − | 0.839175i | \(-0.683038\pi\) | ||||
−0.543861 | + | 0.839175i | \(0.683038\pi\) | |||||||
\(692\) | − | 8.38993i | − | 0.318937i | ||||||
\(693\) | 0.107019i | 0.00406532i | ||||||||
\(694\) | −25.6182 | −0.972452 | ||||||||
\(695\) | 2.61589 | + | 2.82576i | 0.0992262 | + | 0.107187i | ||||
\(696\) | 1.81788 | 0.0689064 | ||||||||
\(697\) | 23.8525i | 0.903479i | ||||||||
\(698\) | − | 20.7557i | − | 0.785615i | ||||||
\(699\) | −21.5080 | −0.813507 | ||||||||
\(700\) | −3.06533 | − | 0.236800i | −0.115859 | − | 0.00895018i | ||||
\(701\) | 49.6636 | 1.87577 | 0.937885 | − | 0.346946i | \(-0.112781\pi\) | ||||
0.937885 | + | 0.346946i | \(0.112781\pi\) | |||||||
\(702\) | − | 4.55101i | − | 0.171767i | ||||||
\(703\) | 36.8498i | 1.38982i | ||||||||
\(704\) | −0.251622 | −0.00948336 | ||||||||
\(705\) | 15.6515 | + | 16.9072i | 0.589470 | + | 0.636763i | ||||
\(706\) | 31.1944 | 1.17402 | ||||||||
\(707\) | − | 1.18514i | − | 0.0445717i | ||||||
\(708\) | 0.308927i | 0.0116102i | ||||||||
\(709\) | 19.4755 | 0.731419 | 0.365710 | − | 0.930729i | \(-0.380826\pi\) | ||||
0.365710 | + | 0.930729i | \(0.380826\pi\) | |||||||
\(710\) | 33.0459 | − | 30.5915i | 1.24019 | − | 1.14808i | ||||
\(711\) | −12.4074 | −0.465313 | ||||||||
\(712\) | 9.17485i | 0.343842i | ||||||||
\(713\) | − | 38.9047i | − | 1.45699i | ||||||
\(714\) | 4.33410 | 0.162200 | ||||||||
\(715\) | 0.712375 | − | 0.659466i | 0.0266413 | − | 0.0246626i | ||||
\(716\) | −1.75636 | −0.0656381 | ||||||||
\(717\) | 24.1169i | 0.900663i | ||||||||
\(718\) | − | 60.1830i | − | 2.24601i | ||||||
\(719\) | 34.3195 | 1.27990 | 0.639951 | − | 0.768415i | \(-0.278954\pi\) | ||||
0.639951 | + | 0.768415i | \(0.278954\pi\) | |||||||
\(720\) | 7.58963 | + | 8.19854i | 0.282849 | + | 0.305542i | ||||
\(721\) | −3.80032 | −0.141531 | ||||||||
\(722\) | 11.8182i | 0.439829i | ||||||||
\(723\) | 7.22805i | 0.268814i | ||||||||
\(724\) | −15.8678 | −0.589723 | ||||||||
\(725\) | 0.385107 | − | 4.98515i | 0.0143025 | − | 0.185144i | ||||
\(726\) | 18.8144 | 0.698268 | ||||||||
\(727\) | 19.3206i | 0.716560i | 0.933614 | + | 0.358280i | \(0.116637\pi\) | ||||
−0.933614 | + | 0.358280i | \(0.883363\pi\) | |||||||
\(728\) | 3.15722i | 0.117014i | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 2.92074 | + | 3.15507i | 0.108101 | + | 0.116774i | ||||
\(731\) | 40.7758 | 1.50815 | ||||||||
\(732\) | − | 5.37587i | − | 0.198698i | ||||||
\(733\) | − | 3.10588i | − | 0.114718i | −0.998354 | − | 0.0573591i | \(-0.981732\pi\) | ||
0.998354 | − | 0.0573591i | \(-0.0182680\pi\) | |||||||
\(734\) | 39.7683 | 1.46787 | ||||||||
\(735\) | 10.7838 | − | 9.98285i | 0.397766 | − | 0.368223i | ||||
\(736\) | 37.9663 | 1.39946 | ||||||||
\(737\) | 0.575703i | 0.0212063i | ||||||||
\(738\) | − | 10.5860i | − | 0.389678i | ||||||
\(739\) | −38.7106 | −1.42399 | −0.711997 | − | 0.702183i | \(-0.752209\pi\) | ||||
−0.711997 | + | 0.702183i | \(0.752209\pi\) | |||||||
\(740\) | 16.3308 | − | 15.1179i | 0.600332 | − | 0.555744i | ||||
\(741\) | −9.23579 | −0.339285 | ||||||||
\(742\) | 4.54096i | 0.166704i | ||||||||
\(743\) | 8.41130i | 0.308581i | 0.988026 | + | 0.154290i | \(0.0493091\pi\) | ||||
−0.988026 | + | 0.154290i | \(0.950691\pi\) | |||||||
\(744\) | −9.18526 | −0.336748 | ||||||||
\(745\) | −24.5264 | − | 26.4941i | −0.898576 | − | 0.970669i | ||||
\(746\) | 8.56373 | 0.313541 | ||||||||
\(747\) | 7.89306i | 0.288792i | ||||||||
\(748\) | 0.593801i | 0.0217115i | ||||||||
\(749\) | 2.28074 | 0.0833364 | ||||||||
\(750\) | 15.0284 | − | 11.9002i | 0.548760 | − | 0.434535i | ||||
\(751\) | −30.5930 | −1.11635 | −0.558177 | − | 0.829722i | \(-0.688499\pi\) | ||||
−0.558177 | + | 0.829722i | \(0.688499\pi\) | |||||||
\(752\) | − | 51.4808i | − | 1.87731i | ||||||
\(753\) | 8.74458i | 0.318670i | ||||||||
\(754\) | 4.55101 | 0.165738 | ||||||||
\(755\) | −1.11357 | − | 1.20292i | −0.0405271 | − | 0.0437786i | ||||
\(756\) | −0.614893 | −0.0223634 | ||||||||
\(757\) | − | 41.6526i | − | 1.51389i | −0.653479 | − | 0.756945i | \(-0.726691\pi\) | ||
0.653479 | − | 0.756945i | \(-0.273309\pi\) | |||||||
\(758\) | − | 49.3347i | − | 1.79192i | ||||||
\(759\) | −1.25936 | −0.0457117 | ||||||||
\(760\) | 10.3793 | − | 9.60841i | 0.376496 | − | 0.348534i | ||||
\(761\) | −28.3957 | −1.02934 | −0.514671 | − | 0.857388i | \(-0.672086\pi\) | ||||
−0.514671 | + | 0.857388i | \(0.672086\pi\) | |||||||
\(762\) | 22.2829i | 0.807224i | ||||||||
\(763\) | 5.30670i | 0.192115i | ||||||||
\(764\) | −7.12965 | −0.257942 | ||||||||
\(765\) | −6.33925 | + | 5.86842i | −0.229196 | + | 0.212173i | ||||
\(766\) | 42.7753 | 1.54554 | ||||||||
\(767\) | − | 0.872565i | − | 0.0315065i | ||||||
\(768\) | − | 18.3544i | − | 0.662306i | ||||||
\(769\) | 48.6782 | 1.75538 | 0.877690 | − | 0.479229i | \(-0.159084\pi\) | ||||
0.877690 | + | 0.479229i | \(0.159084\pi\) | |||||||
\(770\) | −0.278729 | − | 0.301092i | −0.0100447 | − | 0.0108506i | ||||
\(771\) | −10.1877 | −0.366902 | ||||||||
\(772\) | 25.6358i | 0.922652i | ||||||||
\(773\) | 54.9974i | 1.97812i | 0.147513 | + | 0.989060i | \(0.452873\pi\) | ||||
−0.147513 | + | 0.989060i | \(0.547127\pi\) | |||||||
\(774\) | −18.0968 | −0.650476 | ||||||||
\(775\) | −1.94585 | + | 25.1887i | −0.0698969 | + | 0.904804i | ||||
\(776\) | 15.4351 | 0.554089 | ||||||||
\(777\) | − | 6.92950i | − | 0.248595i | ||||||
\(778\) | 53.3143i | 1.91141i | ||||||||
\(779\) | −21.4833 | −0.769717 | ||||||||
\(780\) | 3.78905 | + | 4.09304i | 0.135670 | + | 0.146554i | ||||
\(781\) | 1.92112 | 0.0687429 | ||||||||
\(782\) | 51.0018i | 1.82382i | ||||||||
\(783\) | − | 1.00000i |